BANG-BANG THEOREM WITH BOUNDS ON THE NUMBER OF SWITCHINGS

被引:64
作者
SUSSMANN, HJ
机构
关键词
D O I
10.1137/0317045
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
For systems of the form dx/dt equals f(x) plus ug(x), with f and g analytic, and minus 1 less than equivalent to u less than equivalent to 1, there is proved a bang-bang theorem with a priori bounds on the number of switchings, provided that the following condition is satisfied: in a neighborhood of every point x, it is possible to express, for each j, the vector field left bracket g, (ad f)**i(g) right bracket as a linear combination of the (ad f)**i(g), i less than equivalent to j plus 1, in such a way that the coefficient of (ad f)**j** plus **1(g) in this expression is bounded in absolute value by a constant c less than 1.
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页码:629 / 651
页数:23
相关论文
共 5 条
[1]  
Boltyansky V.G., 1966, SIAM J CONTROL, V4, P326
[2]   GENERALIZATION OF CHOWS THEOREM AND BANG-BANG THEOREM TO NONLINEAR CONTROL PROBLEMS [J].
KRENER, AJ .
SIAM JOURNAL ON CONTROL, 1974, 12 (01) :43-52
[4]   CONTROLLABILITY OF NONLINEAR-SYSTEMS [J].
SUSSMANN, HJ ;
JURDJEVIC, V .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (01) :95-+
[5]  
SUSSMANN JJ, 1978 P INT C MATH HE